Probing higher spin black holes from CFT

TL;DR

This paper demonstrates the agreement between CFT calculations and holographic models for scalar two-point functions in higher spin black hole backgrounds, supporting the duality between W_N models and higher spin gravity.

Contribution

It provides evidence for the duality by matching CFT correlators with holographic computations in higher spin gravity with chemical potential.

Findings

CFT two-point functions match holographic results

Supports duality between W_N models and higher spin gravity

Validates a recent method for boundary correlator computations

Abstract

In a class of 2D CFTs with higher spin symmetry, we compute thermal two-point functions of certain scalar primary operators in the presence of nonzero chemical potential for higher spin charge. These are shown to agree with the same quantity calculated holographically using scalar fields propagating in a charged black hole background of 3D higher spin gravity. This match serves as further evidence for the duality between W_N minimal models at large central charge and 3D higher spin gravity. It also supports a recent prescription for computing boundary correlators of multi-trace scalar primary operators in higher spin theories.